Question

The minimum value of Z = 5x + 8y subject to x + y ≥ 5, 0 ≤ x ≤ 4, y ≥ 2, x ≥ 0, y ≥ 0 is ____________.

पर्याय

• 40

• 36

• 20

• 31

Answer 1

The minimum value of Z = 5x + 8y subject to x + y ≥ 5, 0 ≤ x ≤ 4, y ≥ 2, x ≥ 0, y ≥ 0 is 31.

Explanation:

Given minimize Z = 5x + 8y

Subject to constrants

x + y ≥ 5, 0 ≤ x ≤ 4, y ≥ 2, x, y ≥ 0

Corner point	Z = 5x + 8y
A(3, 2)	15 + 16 = 31
B(4, 2)	20 + 16 = 36
C(0, 5)	0 + 40 = 40

∴ Minimum value = 31